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有限元模型修正研究进展:从线性到非线性

张皓 李东升 李宏男

张皓, 李东升, 李宏男. 有限元模型修正研究进展:从线性到非线性[J]. 力学进展, 2019, 49(1): 201909. doi: 10.6052/1000-0992-18-004
引用本文: 张皓, 李东升, 李宏男. 有限元模型修正研究进展:从线性到非线性[J]. 力学进展, 2019, 49(1): 201909. doi: 10.6052/1000-0992-18-004
Hao ZHANG, Dongsheng LI, Hongnan LI. Recent progress on finite element model updating: From linearity to nonlinearity[J]. Advances in Mechanics, 2019, 49(1): 201909. doi: 10.6052/1000-0992-18-004
Citation: Hao ZHANG, Dongsheng LI, Hongnan LI. Recent progress on finite element model updating: From linearity to nonlinearity[J]. Advances in Mechanics, 2019, 49(1): 201909. doi: 10.6052/1000-0992-18-004

有限元模型修正研究进展:从线性到非线性

doi: 10.6052/1000-0992-18-004
基金项目: 国家重点基础研究发展计划(973计划) (2015CB057704)、国家自然科学基金(51121005, 51578107,51778103)、中央高校基本科研业务费(DUT18LAB07)和汕头大学科研启动基金(NTF18012)资助项目.
详细信息
    作者简介:

    李东升, 博士, 汕头大学教授, 博士生导师.
    李宏男, 博士, 大连理工大学教授, 博士生导师.

    通讯作者:

    李东升

  • 中图分类号: O322;

Recent progress on finite element model updating: From linearity to nonlinearity

More Information
    Corresponding author: Dongsheng LI
  • 摘要: 有限元分析在实际工程中得到了广泛应用.然而有限元模型由于受到网格划分、边界条件和材料物理参数不确定性等的影响,与真实结构有差异. 因此须通过试验数据加以修正,使其尽可能接近实际结构,以保证之后的结构动力模拟分析和监测等具有实际意义. 经过多年发展,有限元模型修正技术已经能够成功应用于一些实际工程,但现代工程技术的进步对有限元模型修正提出了更高要求,修正后的有限元模型不仅要有较高的精确度,还需要为后续应用给出具有指导意义的置信度.而现有的有限元模型修正、确认方法多基于结构线性的假设,而未能考虑实际结构中广泛存在的非线性.因此本文以土木工程结构模型修正的一些研究成果为例,通过对传统有限元模型修正的发展历程进行全面回顾;总结评述传统有限元修正技术的主要方法,以及包括有限元模型确认在内的最新研究进展;重点探讨有限元模型修正技术向非线性发展的技术路线和目前主要研究成果,展望其未来发展方向, 并提出值得研究的问题.

     

  • [1] 毕司峰, 邓忠民. 2013. 基于随机抽样与距离判别的GARTEUR模型修正与确认研究. 航空学报, 34: 2757-2767

    (Bi S F, Deng Z M.2013. Stochastic model updating and validation of the GARTEUR structure based on random sampling and distance discrimination. Acta Aeronautica et Astronautica Sinica, 34: 2757-2767).
    [2] 崔飞, 杨党旗, 高岩. 2003. 用参数识别技术进行桥梁结构损伤识别. 中国铁道科学, 24: 37-40

    (Cui F, Yang D Q, Gao Y.2003. Bridge structural damage assessment by parameter identification. China Railway Science, 24: 37-40).
    [3] 陈志国, 邓忠民, 毕司峰. 2013. 基于Monte Carlo法的结构动力学模型确认. 振动与冲击, 32: 76-81

    (Chen Z G, Deng Z M, Bi S F.2013. Structural dynamics model validation based on monte carlo method. Journal of Vibration and Shock, 32: 76-81).
    [4] 戴航, 袁爱民. 2011. 基于灵敏度分析的结构模型修正. 北京: 科学出版社

    (Dai H, Yuan A M.2011. Structural model updating based on sensitivity analysis. Beijing: Science Press).
    [5] 丁继锋, 马兴瑞, 韩增尧, 庞世伟. 2010. 结构动力学模型修正的三步策略及其实践. 航空学报, 31: 546-552

    (Ding J F, Ma X R, Han Z Y, Pang S W.2010. Three-step model updating method in structure dynamics and its application. Acta Aeronautica et Astronautica Sinica, 31: 546-552).
    [6] 范立础, 袁万城, 张启伟. 2000. 悬索桥结构基于敏感性分析的动力有限元模型修正. 土木工程学报, 33: 9-14

    (Fan L C, Yuan W C, Zhang Q W.2000. Sensitivity-based FE model updating of a suspension bridge. China Civil Engineering Journal, 33: 9-14).
    [7] 费庆国, 李爱群, 张令弥. 2005. 基于神经网络的非线性结构有限元模型修正研究. 宇航学报, 26: 267-269, 281

    (Fei Q G, Li A Q, Zhang L M. 2005. Study on finite element model updating of nonlinear structures using neural network. Acta Aeronautica et Astronautica Sinica, 26: 267-269, 281).
    [8] 费庆国, 张令弥. 2004. 基于径向基神经网络的有限元模型修正研究. 南京航空航天大学学报, 36: 748-752

    (Fei Q G, Zhang L M.2004. Finite element model updating using radial basis function neutral network. Journal of Nanjing University of Aeronautics and Austronautics, 36: 748-752).
    [9] 费庆国, 张令弥, 郭勤涛. 2004. GARTEUR有限元模型修正与确认研究. 航空学报, 25: 372-375

    (Fei Q G, Zhang L M, Guo Q T.2004. Case study of FE model updating and validation via an aircraft model structure. Acta Aeronautica et Astronautica Sinica, 25: 372-375).
    [10] 费庆国, 张令弥, 李爱群, 王彤. 2005. 基于不同残差的动态有限元模型修正的比较研究. 振动与冲击, 24: 24-26,135

    (Fei Q G, Zhang L M, Li A Q, Wang T.2005. Evaluation of FE model updating using four kinds of residues. Journal of Vibration and Shock, 24: 24-26,135).
    [11] 方圣恩. 2010. 基于有限元模型修正的结构损伤识别方法研究. [博士论文]. 长沙: 中南大学

    (Fang S E.2010. Studies on structural damage detection by finite element model updating. [PhD Thesis]. Changsha: Central South University).
    [12] 郭勤涛, 张令弥. 2005. 结构动力学有限元模型确认方法研究. 应用力学学报, 22: 572-578, 678

    (Guo Qintao, Zhang Lingmi.2005. Fnite element model validation in structural dynamics. Chinese Journal of Applied Mechanics, 22: 572-578, 678).
    [13] 郭勤涛, 张令弥, 费庆国. 2006a. 结构动力学有限元模型修正的发展------模型确认. 力学进展, 36: 36-42

    (Guo Q T, Zhang L M, Fei Q G.2006a. From FE model updating to model validation: advances in modeling of dynamic structures. Advances in Mechanics, 36: 36-42).
    [14] 郭勤涛, 张令弥, 费庆国. 2006b. 用于确定性计算仿真的响应面法及其试验设计研究. 航空学报, 27: 55-61

    (Guo Q T, Zhang L M, Fei Q G.2006b. Response surface method and its experimental design for deterministric computer simulation. Acta Aeronautica et Astronautica Sinica, 27: 55-61).
    [15] 何成, 何欢, 陈国平. 2012. 基于分级思想的高温环境结构动力学模型修正. 振动与冲击, 31: 145-150

    (He C, He H, Chen G P.2012. Structural dynamic model updating in high-temperature environment based on a two stage modification. Journal of Vibration and Shock, 31: 145-150).
    [16] 华宏星, 傅志方. 1997. 模糊数学在有限元模型修正中的应用. 振动工程学报, 10: 42-47

    (Hua H X, Fu Z F.1997. Application of Fuzzy Theory to Finite Element Model Updating. Journal of Vibration Engineering, 10: 42-47).
    [17] 华宏星, 傅志方. 1998. 有限元模型修正中的BAYES方法的几点讨论. 振动工程学报, 11: 113-118

    (Hua H X, Fu Z F.1998. Discussion on the Bayes estimator used in finite element model updating. Journal of Vibration Engineering, 11: 113-118).
    [18] 侯吉林. 2010. 约束子结构模型修正方法. [博士论文]. 哈尔滨: 哈尔滨工业大学

    (Hou J L.2010. Model updating based on substructure isolation methods. [PhD Thesis]. Harbin: Harbin Institute of Technology).
    [19] 蒋寅军. 2011. 基于响应面方法的复杂结构模型修正方法研究. [博士论文]. 武汉: 武汉大学

    (Jiang Y J.Research on dynamic model updating technology for complex structures based on response surface methodology. [PhD Thesis].Wuhan: Wuhan University).
    [20] 李辉, 丁桦. 2005. 结构动力模型修正方法研究进展. 力学进展, 35: 170-180

    (Li H, Ding H.2005. Progress in model updating for structural dynamics. Advances in Mechanics, 35: 170-180).
    [21] 李林, 朱宏平, 洪可柱. 2006. 基于神经网络方法的框架结构损伤检测的试验研究. 振动与冲击, 25: 107-109, 121, 170

    (Li L, Zhu H P, Hong K Z.2006. Experimental study on damage detection of frame structure based on artificial neural network algorithm. Journal of Vibration and Shock, 25: 107-109, 121, 170).
    [22] 李伟明. 2011. 有限元模型修正方法及自由度匹配迭代技术研究. [博士论文]. 上海: 上海交通大学

    (Li Weiming.2011. Study on finite element model updating method and iterative technique for degree of freedom matching. [PhD Thesis]. Shanghai: Shanghai Jiao Tong University).
    [23] 刘荣贺, 于开平. 2013. 基于基础激励试验数据的卫星结构有限元模型修正. 宇航学报, 34: 1187-1194

    (Liu R H, Yu K P.2013. Model updating for a satellite structure based on basic excitation test data. Journal of Astronautics, 34: 1187-1194).
    [24] 刘宇飞. 2015. 基于模型修正与图像处理的多尺度结构损伤识别. [博士论文]. 北京: 清华大学

    (Liu Yunfei.2015. Multi-scale structural damage assessment based on model updating and image processing. [PhD Thesis]. Beijing: Tsinghua University).
    [25] 任伟新, 陈华斌. 2008. 基于响应面的桥梁有限元模型修正. 土木工程学报, 41: 73-78

    (Ren W X, Chen H B.2008. Response-surface based on finite element model updating of bridge structures. China Civil Engineering Journal, 41: 73-78).
    [26] 宋汉文, 王丽炜, 王文亮. 2003. 有限元模型修正中若干重要问题. 振动与冲击, 22: 70-73, 81, 112

    (Song H W, Wang L W, Wang W L.2003. Several important problems for updating finite element model. Journal of Vibration and Shock, 22: 70-73, 81, 112).
    [27] 魏来生. 1998. 结构有限元动态模型修正方法综述. 振动与冲击, 17: 46-49, 84, 92

    (Wei Laisheng.1998. A review on the updating methods of finite element model. Journal of Vibration and Shock, 17: 46-49, 84, 92).
    [28] 王勖成. 2003. 有限单元法. 北京: 清华大学出版社

    (Wang X C.2003. Finite element method. Beijing: Tsinghua University Press).
    [29] 王泽宇, 刘闯, 冯咬齐. 2010. 基于振动试验数据的有限元模型修正技术研究. 航天器环境工程, 27: 472-476, 405

    (Wang Z Y, Liu C, Feng Y Q.2010. A method to update FEA analytical model by using the shaker vibration test data. Spacecraft Environment Engineering, 27: 472-476, 405).
    [30] 吴晓菊. 2009. 结构有限元模型修正综述. 特种结构, 26: 39-45

    (Wu X J.2009. A review of finite element model updating. Special Structures, 26: 39-45).
    [31] 徐宜桂, 周轶尘, 王志华. 2000. 用神经网络方法修正悬索桥动力模型. 振动工程学报, 13: 46-52

    (Xu Y J, Zhou T C, Wang Z H.2000. Updating of dynamic model suspension bridge using adaptive neural network method. Journal of Vibration Engineering, 13: 46-52).
    [32] 徐张明, 高天明, 沈荣瀛, 华宏星. 2002. 一种改进的利用频响函数进行有限元模型修正的方法. 振动与冲击, 21: 45-47, 94

    (Xu Z M, Gao T M, Shen R Y, Hua H X.2002. Improved finite element model updating method based on frequency response functions. Journal of Vibration and Shock, 21: 45-47, 94).
    [33] 徐张明, 沈荣瀛, 华宏星. 2003. 基于频响函数相关性的灵敏度分析的有限元模型修正. 机械强度, 25: 5-8

    (Xu Z M, Shen R Y, Hua H X.2003. Updating finite element model by the sensitivity analysis of FRF correlation functions. Journal of Mechanical Strength, 25: 5-8).
    [34] 于开平, 刘荣贺. 2013. 多族群粒子群优化算法飞行器结构模型修正. 振动与冲击, 32: 79-83, 99

    (Yu K P, Liu R H.2013. Model updating of a spacecraft structure based on MRPSO. Journal of Vibration and Shock, 32: 79-83, 99).
    [35] 余岭, 万祖勇, 朱宏平, 徐德毅. 2006. 基于POS算法的结构模型修正与损伤检测. 振动与冲击, 25: 37-39,53,190

    (Yu Ling, Wan Zuyong, Zhu Hongping, Xu D Y.2006. Structural model updating and damage detection through particle swarm optimization. Journal of Vibration and Shock, 25: 37-39,53,190).
    [36] 袁平平, 王佐才, 任伟新. 2016. 基于动力响应主分量瞬时频率和幅值的非线性模型修正. 振动工程学报, 29: 887-893

    (Yuan Pingping, Wang Zuocai, Ren Weixin.2016. Nonlinear model updating based on instantaneous frequencies and amplitudes of principle dynamic response components. Journal of Vibration Engineering, 29: 887-893).
    [37] 郁胜, 周林仁, 欧进萍. 2014. 基于径向基函数响应面方法的超大跨悬索桥有限元模型修正. 铁道科学与工程学报, 11: 1-9

    (Yu Sheng, Zhou Linren, Ou Jinping.2014. Finite element model updating of large suspension bridge based on radial basis function response surface. Journal of Railway Science and Engineering, 11: 1-9).
    [38] 杨智春, 王乐, 李斌, 刘江华. 2009. 结构动力学有限元模型修正的目标函数及算法. 应用力学学报, 26: 288-296, 408

    (Yang Zhichun, Wang Le, Li Bin, Liu J H.2009. Objective functions and algorithms in structural dynamic finite element model updating. Chinese Journal of Applied Mechanics, 26: 288-296, 408).
    [39] 袁昭旭, 于开平. 2017. 高温环境下结构动力学模型修正方法研究. 振动与冲击, 36: 171-180

    (Yuan Z X, Yu K P.2017. Structural dynamic model updating under high temperature environment. Journal of Vibration and Shock, 36: 171-180).
    [40] 朱安文, 曲广吉, 高耀南, 魏震松. 2002. 结构动力模型修正技术的发展. 力学进展, 32: 337-348

    (Zhu A W, Qu G J, Gao Y N, Wei Z S.2002. A survey of the modifying techniques of structure dynamic models. Advances in Mechanics, 32: 337-348).
    [41] 张保强, 陈国平, 郭勤涛. 2011. 结构动力学模型确认问题的核密度估计方法. 机械工程学报, 47: 29-36, 43

    (Zhang B Q, Chen G P, Guo Q T.2011. Structural dynamic model validation problem solution using kernel density estimation method. Journal of Vibration Engineering, 47: 29-36, 43).
    [42] 张冬冬, 郭勤涛. 2013. Kriging响应面代理模型在有限元模型确认中的应用. 振动与冲击, 32: 187-191

    (Zhang D D, Guo Q T.Application of Kriging response surface in finite element model validation. Journal of Vibration and Shock, 32: 187-191).
    [43] 张德文, 魏阜旋. 1999. 模型修正与破损诊断. 北京: 科学出版社

    (Zhang D W, Wei F X.1999. Model updating and damage detection. Beijing: Science Press).
    [44] 张令弥. 2002. 计算仿真与模型确认及在结构环境与强度中的应用. 强度与环境, 29: 42-47, 56

    (Zhang L M.2002. Computer simulation and model validation with application to strength and environment engineering. Structure and Environment Engineering, 29: 42-47, 56)
    [45] 张令弥, 何柏庆. 1995. 利用试验数据的结构动力学数学模型修正统一方法. 南京航空航天大学学报, 27: 33-41

    (Zhang L M, He B Q.1995. Analytical models updating based on parameter correction using dynamic test data. Journal of Nanjing University of Aeronautics &Austronautics, 27: 33-41).
    [46] 朱跃. 2010. 基于分层思想的复杂机械结构模型修正及确认技术研究. [博士论文]. 南京: 南京航空航天大学

    (Zhu Yue.2010. Study on model updating and validation technology of complex mechanical structure based on hierarchical method. [PhD Thesis]. Nanjing: Nanjing University of Aeronautics and Austronautics).
    [47] 宗周红, 牛杰, 王浩. 2012. 基于模型确认的结构概率损伤识别方法研究进展. 土木工程学报, 45: 121-130

    (Zong Z H, Niu J, Wang H.2012. A review of structural damage identification methods based on the finite element model validation. China Civil Engineering Journal, 45: 121-130).
    [48] 宗周红, 任伟新. 2012. 桥梁有限元模型修正和模型确认. 北京: 人民交通出版社

    (Zong Z H, Ren W X.2012. Finite element model updating and model validation of bridge structures. Beijing: China Communications Press).
    [49] Alvin K, Oberkampf W, Diegert K, et al.1998. Uncertainty quantification in computational structural dynamics: a new paradigm for model validation//16th International Modal Analysis Conference, 1998, Santa Babara, USA, 2: 1191-1198.
    [50] Asgarieh E, Moaveni B, Barbosa A R, et al.2017. Nonlinear model calibration of a shear wall building using time and frequency data features. Mechanical Systems and Signal Processing, 85: 236-251.
    [51] Asgarieh E, Moaveni B, Stavridis A.2014. Nonlinear finite element model updating of an infilled frame based on identified time-varying modal parameters during an earthquake. Journal of Sound and Vibration, 333: 6057-6073.
    [52] Astroza R, Nguyen L T, Nestorovic T.2016. Finite element model updating using simulated annealing hybridized with unscented Kalman filter. Computers and Structures, 177: 176-191.
    [53] Atalla M J, Inman D J.1998. On model updating using neural networks. Mechanical Systems and Signal Processing, 12: 135-161.
    [54] Baruch M.1982. Optimal correction of mass and stiffness matrices using measured modes. AIAA Journal, 20: 1623-1626.
    [55] Baruch M.1978. Optimization procedure to correct stiffness and flexibility matrices using vibration tests. AIAA Journal, 16: 1208-1210.
    [56] Beardsley P, Hemez F M, Doebling S W.1999. Updating nonlinear finite element models in the time domain//Office of Scientific & Technical Information Technical Reports, No. LA-UR-99-3227.
    [57] Beck J L, Au S K.2002. Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation. Journal of Engineering Mechanics, 128: 380-391.
    [58] Beck J L, Katafygiotis L S.1998. Updating models and their uncertainties. I: Bayesian statistical framework. Journal of Engineering Mechanics, 124: 455-461.
    [59] Bèliveau J G, Vigneron F R, Soucy Y, et al.1986. Modal parameter estimation from base excitation. Journal of Sound and Vibration, 107: 435-449.
    [60] Berman A, Flannelly W G.1971. Theory of Incomplete Models of Dynamic Structures. AIAA Journal, 9: 1481-1487.
    [61] Berman A, Nagy E J.1983. Improvement of a large analytical model using test data. AIAA Journal, 21: 1168-1173.
    [62] Berman A.1979. Mass matrix correction using an incomplete set of measured modes. AIAA Journal, 17: 1147-1148.
    [63] Berman A.1984. System identification of structural dynamic models Theoretical and practical bounds//25th Structures, Structural Dynamics and Materials Conference, 1984, Palm Springs, USA, 929.
    [64] Box G E P, Wilson K B.1992. On the experimental attainment of optimum conditions//Breakthroughs in Statistics. New York: Springer, 270-310.
    [65] Brownjohn J M W, Dumanoglu A A, Severn R T.1992. Ambient vibration survey of the fatih sultan mehmet (second Bosporus) suspension bridge. Earthquake Engineering and Structural Dynamics, 21: 907-924.
    [66] Brughmans M, Hrycko G, Wyzykowski J.1991. Application of FEM model correlation and updating techniques on an aircraft using test data of a ground vibration survey //9th International Modal Analysis Conference, 1991, Florence,Italy, Vol. 517.
    [67] Brughmans M, Leuridan J, Blauwkamp K.1993. The application of FEM-EMA correlation and validation techniques on a body-in-white//11th International Modal Analysis Conference, 1993, Orlando, USA, 646.
    [68] Bussetta P, Shiki S B, da Silva S.2017a. Nonlinear updating method: a review. Journal of the Brazilian Society of Mechanical Sciences & Engineering, 39: 4757-4767.
    [69] Bussetta P, Shiki S B, da Silva S.2017b. Updating of a nonlinear finite element model using discrete-time Volterra series. Latin American Journal of Solids and Structures, 14: 1183-1199.
    [70] Canbaloğlu G, Özgüven H N.2016. Model updating of nonlinear structures from measured FRFs. Mechanical Systems and Signal Processing, 80: 282-301.
    [71] Carri A D, Di Maio D.2016. Non linear Finite Element Model Validation of a Lap-Joint//Nonlinear Dynamics, Springer International Publishing, Vol. 1: 279-291.
    [72] Carri A D, Weekes B, Di Maio D, et al.2017. Extending modal testing technology for model validation of engineering structures with sparse nonlinearities: A first case study. Mechanical Systems and Signal Processing, 84: 97-115.
    [73] Chakraborty S, Sen A.2014. Adaptive response surface based efficient Finite Element Model Updating. Finite Elements in Analysis and Design, 80: 33-40.
    [74] Chen W, Baghdasaryan L, Buranathiti T, et al.2004. Model Validation via Uncertainty Propagation and Data Transformations. AIAA Journal, 42: 1406-1415.
    [75] Chen Y, Yaghoubi V, Linderholt A, et al.2016. Informative Data for Model Calibration of Locally Nonlinear Structures Based on Multiharmonic Frequency Responses. Journal of Computational and Nonlinear Dynamics, 11: 051023.
    [76] Cheung S H, Beck J L.2009. Bayesian model updating using hybrid Monte Carlo simulation with application to structural dynamic models with many uncertain parameters. Journal of Engineering Mechanics, 135: 243-255.
    [77] Ching J, Chen Y C.2007. Transitional Markov chain Monte Carlo method for Bayesian model updating, model class selection, and model averaging. Journal of Engineering Mechanics, 133: 816-832.
    [78] Collins J D, Hart G C, Haselman T, et al.1974. Statistical identification of structures. AIAA Journal, 12: 185-190.
    [79] Cottin N, Felgenhauer H P, Natke H.1984. On the parameter identification of elastomechanical systems using input and output residuals. Ingenieur-Archiv, 54: 378-387.
    [80] D'Ambrogio W, Fregolent A, Salvini P.1993. Updatability conditions of nonconservative FE models with noise on incomplete input-output data//1st International Conference on Structural Dynamics Modelling: Test, Analysis, Correlation. 29-38.
    [81] Ebrahimian H, Astroza R, Conte J P, et al.2017. Nonlinear finite element model updating for damage identification of civil structures using batch Bayesian estimation. Mechanical Systems and Signal Processing, 84: 194-222.
    [82] Erdogan Y S, Bakir P G.2013. Inverse propagation of uncertainties in finite element model updating through use of fuzzy arithmetic. Engineering Applications of Artificial Intelligence, 26: 357-367.
    [83] Ewins D J, Weekes B, D Carri A.2015. Modal testing for model validation of structures with discrete nonlinearities. Phil Trans R Soc A, 373: 20140410.
    [84] Farrar C R, Worden K.2012. Structural Health Monitoring: A Machine Learning Perspective. New York: John Wiley & Sons.
    [85] Fox R L, Kapoor M P.1969. Rates of change of eigenvalues and eigenvectors. AIAA Journal, 6: 2426-2429.
    [86] Friswell M I.1990. Candidate Reduced Order Models for Structural Parameter Estimation. Journal of Vibration and Acoustics, 112: 93-97.
    [87] Friswell M, Mottershead J E.1995. Finite Element Model Updating in Structural Dynamics. New York: Springer Science & Business Media.
    [88] Friswell M I, Mottershead J E, Ahmadian H.2001. Finite-element model updating using experimental test data: Parametrization and regularization. Philosophical Transactions Mathematical Physical & Engineering Sciences, 359:169-186.
    [89] Fritzen C P, Zhu S.1991. Updating of finite element models by means of measured information. Computers and Structures, 40: 475-486.
    [90] Fritzen C P.1986. Identification of mass, damping, and stiffness matrices of mechanical systems. Journal of Vibration, Acoustics, Stress, and Reliability in Design, 108: 9-16.
    [91] Ghanem R G, Doostan A, Red-Horse J.2008. A probabilistic construction of model validation. Computer Methods in Applied Mechanics and Engineering, 197: 2585-2595.
    [92] Goge D.2003. Automatic updating of large aircraft models using experimental data from ground vibration testing. Aerospace Science and Technology, 7: 33-45.
    [93] Gou B Y, Zhang W J, Lu Q H, et al.2016. A successive selection method for finite element model updating. Mechanical Systems and Signal Processing, 70: 320-333.
    [94] Grafe H.1999. Model updating of large structural dynamics models using measured response functions. [PhD Thesis]. London: University of London.
    [95] Guyan R J.1965. Reduction of stiffness and mass matrices. AIAA Journal, 3: 380-380.
    [96] Hanson K M, Hemez F M.2001. A framework for assessing confidence in computational predictions. Experimental Techniques, 25: 50-55.
    [97] Hasselman T, Lloyd G.2008. A top-down approach to calibration, validation, uncertainty quantification and predictive accuracy assessment. Computer Methods in Applied Mechanics and Engineering, 197: 2596-2606.
    [98] Hemez F M, Doebling S W.2000a. Model Validation and Uncertainty Quantification//19th International Modal Analysis Conference, 2001, Kissimmee, USA.
    [99] Hemez F M, Doebling S W.2000b. Validation of structural dynamics models at Los Alamos National Laboratory//41th Structures, Structural Dynamics, and Materials Conference and Exhibit, 2000, Atlanta, USA, 1437.
    [100] Hemez F M, Doebling S W.2001. Review and assessment of model updating for non-linear, transient dynamics. Mechanical Systems and Signal Processing, 15: 45-74.
    [101] Hills R G, Pilch M, Dowding K J, et al.2008. Validation challenge workshop. Computer Methods and Applied Mechanics and Engineering, 197: 2375-2380.
    [102] Horta L G, Kenny S P, Crespo L G, et al.2008. NASA Langley's approach to the Sandia's structural dynamics challenge problem. Computer Methods in Applied Mechanics and Engineering, 197: 2607-2620.
    [103] Housner G, Bergman L A, Caughey T K, et al.1997. Structural control: past, present, and future. Journal of Engineering Mechanics, 123: 897-971.
    [104] Hu S L J, Li H, Wang S.2007. Cross-model cross-mode method for model updating. Mechanical Systems and Signal Processing, 21: 1690-1703.
    [105] Isasa I, Hot A, Cogan S, et al.2011. Model updating of locally non-linear systems based on multi-harmonic extended constitutive relation error. Mechanical Systems and Signal Processing, 25: 2413-2425.
    [106] Jafarkhani R, Masri S F.2011. Finite Element Model Updating Using Evolutionary Strategy for Damage Detection. Computer-Aided Civil Infrastructure Engineering, 26: 207-224.
    [107] Jiang X M, Mahadevan S.2011. Wavelet spectrum analysis approach to model validation of dynamic systems. Mechanical Systems and Signal Processing, 25: 575-590.
    [108] Jin S S, Jung H J.2016. Sequential surrogate modeling for efficient finite element model updating. Computers & Structures, 168: 30-45.
    [109] Kabe A M.1985. Stiffness matrix adjustment using mode data. AIAA Journal, 23: 1431-1436.
    [110] Kerschen G, Golinval J C.2004. A model updating strategy of non-linear vibrating structures. International Journal for Numerical Methods in Engineering, 60: 2147-2164.
    [111] Kerschen G, Golinval J C.2005. Generation of accurate finite element models of nonlinear systems---Application to an aeroplane-like structure. Nonlinear Dynamics, 39: 129-142.
    [112] Kerschen G, Worden K, Vakakis A F, et al.2006. Past, present and future of nonlinear system identification in structural dynamics. Mechanical Systems and Signal Processing, 20: 505-592.
    [113] Kurt M, Eriten M, Mcfarland D M, et al.2015. Methodology for model updating of mechanical components with local nonlinearities. Journal of Sound and Vibration, 357: 331-348.
    [114] Kurt M, Moore K J, Eriten M, et al.2016. Nonlinear Model Updating Methodology with Application to the IMAC XXXIII Round Robin Benchmark Problem//Nonlinear Dynamics, Springer International Publishing, 1: 343-347.
    [115] Kwon K S, Lin R M.2004. Frequency selection method for FRF-based model updating. Journal of Sound and Vibration, 278: 285-306.
    [116] Lenaerts V, Kerschen G, Golinval J C.2001. Proper orthogonal decomposition for model updating of non-linear mechanical systems. Mechanical Systems and Signal Processing, 15: 31-43.
    [117] Levin R I, Lieven N.1998a. Dynamic finite element model updating using simulated annealing and genetic algorithms. Mechanical Systems and Signal Processing, 12: 91-120.
    [118] Levin R I, Lieven N.1998b. Dynamic finite element model updating using neural networks. Journal of Sound and Vibration, 210: 593-607.
    [119] Li Y, Astroza R, Conte J P, et al.2017. Nonlinear FE model updating and reconstruction of the response of an instrumented seismic isolated bridge to the 2010 Maule Chile earthquake. Earthquake Engineering & Structural Dynamics, 46: 2699-2716.
    [120] Lin R M, Ewins D.1994. Analytical model improvement using frequency response functions. Mechanical Systems and Signal Processing, 8: 437-458.
    [121] Lin R M, Zhu J.2007. Finite element model updating using vibration test data under base excitation. Journal of Sound and Vibration, 303: 596-613.
    [122] Link M, Friswell M.2003. Working Group 1: Generation of validated structural dynamic models---results of a benchmark study utilising the garteur SM-AG19 test-bed. Mechanical Systems and Signal Processing, 17: 9-20.
    [123] Liu Y, Duan Z D.2012. Fuzzy finite element model updating of bridges by considering the uncertainty of the measured modal parameters. Science China Technological Sciences, 55: 3109-3117.
    [124] Martin P.2000. Guide for ASCI verification and validation planescontent V and format: version 2.0. Sandia National Laborarories.
    [125] Marwala T.2010. Finite Element Model Updating Using Computational Intelligence Techniques: Applications to Structural Dynamics. New York: Springer Science &Business Media.
    [126] Mcfarland J, Mahadevan S.2008. Error and variability characterization in structural dynamics modeling. Computer Methods in Applied Mechanics and Engineering, 197: 2621-2631.
    [127] Meyer S, Link M.2003. Modelling and updating of local non-linearities using frequency response residuals. Mechanical Systems and Signal Processing, 17: 219-226.
    [128] Moaveni B, He X F, Conte J P, et al.2010. Damage identification study of a seven-story full-scale building slice tested on the UCSD-NEES shake table. Structural Safety, 32: 347-356.
    [129] Moaveni B, Stavridis A, Lombaert G, et al.2013. Finite-Element Model Updating for Assessment of Progressive Damage in a 3-Story Infilled RC Frame. Journal of Structural Engineering, 139: 1665-1674.
    [130] Mottershead J E, Link M, Friswell M I.2011. The sensitivity method in finite element model updating: A tutorial. Mechanical Systems and Signal Processing, 25: 2275-2296.
    [131] Mottershead J, Friswell M.1993. Model updating in structural dynamics: a survey. Journal of Sound and Vibration, 167: 347-375.
    [132] Natke H.1988. Updating computational models in the frequency domain based on measured data: a survey. Probabilistic Engineering Mechanics, 3: 28-35.
    [133] Nelson R B.1976. Simplified calculation of eigenvector derivatives. AIAA Journal, 14: 1201-1205.
    [134] O'Callahan J C.1989. A procedure for an improved reduced system (IRS) model//7th International Modal Analysis Conference, 1989, Las Vegas, USA, Vol. 1, 17-21.
    [135] O'Callahan J, Avitabile P, Riemer R.1989. System equivalent reduction expansion process (SEREP)//7th International Modal Analysis Conference, 1989, Schnectady, USA, Vol. 1, 29-37.
    [136] Oberkampf W L, Roy C J.2010. Verification and Validation in Scientific Computing. Cambridge: Cambridge University Press.
    [137] Oden J T, Belytschko T, Babuska I, et al.2003. Research directions in computational mechanics. Computer Methods in Applied Mechanics and Engineering, 192: 913-922.
    [138] Paez T L, Red-Horse J.2008. Structural dynamics challenge problem: Summary. Computer Methods in Applied Mechanics and Engineering, 197: 2660-2665.
    [139] Papadimitriou C, Papadioti D C.2013. Component mode synthesis techniques for finite element model updating. Computers and Structures, 126: 15-28.
    [140] Paz M.1984. Dynamic condensation. AIAA Journal, 22: 724-727.
    [141] Perera R, Fang S E, Ruiz A.2010. Application of particle swarm optimization and genetic algorithms to multiobjective damage identification inverse problems with modelling errors. Meccanica, 45: 723-734.
    [142] Rebba R, Mahadevan S, Zhang R.2003. Validation of uncertainty propagation models//44th Structures, Structural Dynamics, and Materials Conference, Norfolk, USA, 1913.
    [143] Rebba R, Mahadevan S.2006. Model predictive capability assessment under uncertainty. AIAA Journal, 44: 2376-2384.
    [144] Red-Horse J, Paez T.2008. Sandia national laboratories validation workshop: structural dynamics application. Computer Methods in Applied Mechanics and Engineering, 197: 2578-2584.
    [145] Ren W X, Chen H B.2010. Finite element model updating in structural dynamics by using the response surface method. Engineering Structures, 32: 2455-2465.
    [146] Roy N A.1990. A Survey of Finite Element Model Updating Methods//Environmental Testing for Space Programmes Test: Facilities and Methods, 1990, Noordwijk, Netherlands, Vol. 304, 333.
    [147] Rutherford B M.2008. Computational modeling issues and methods for the "regulatory problem" in engineering--Solutions to the structural dynamics and static frame problems. Computer Methods in Applied Mechanics and Engineering, 197: 2632-2644.
    [148] Schedlinski C.2000. Computational model updating of large scale finite element models//18th International Modal Analysis Conference, 2000, San Antonio, USA, Vol. 4062, 476.
    [149] Schmidt R.1994. Updating nonlinear components. Mechanical Systems and Signal Processing, 8: 679-690.
    [150] Schultze J F, Hemez F M, Doebling S W, et al.2001. Application of non-linear system model updating using feature extraction and parameter effects analysis. Shock and Vibration, 8: 325-337.
    [151] Schwer L E.2007. An overview of the PTC 60/V & V 10: Guide for verification and validation in computational solid mechanics. Engineering with Computers, 23: 245-252.
    [152] Schwer L E.2009. Guide for verification and validation in computational solid mechanics. ASME Journal.
    [153] Shabbir F, Omenzetter P.2015. Particle swarm optimization with sequential niche technique for dynamic finite element model updating. Computer-Aided Civil Infrastructure Engineering, 30: 359-375.
    [154] Shahidi G, Pakzad S N.2013. Response Surface Model Updating for Nonlinear Structures. New York: Springer.
    [155] da Silva S, Cogan S, Foltête E, et al.2009. Metrics for nonlinear model updating in structural dynamics. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 31: 27-34.
    [156] Sipple J D, Sanayei M.2014. Finite element model updating using frequency response functions and numerical sensitivities. Structural Control and Health Monitoring, 21: 784-802.
    [157] Smith M J, Hutton S G.1992. Frequency modification using Newton's method and inverse iteration eigenvector updating. AIAA Journal, 30: 1886-1891.
    [158] Song W, Dyke S, Harmon T.2012. Application of nonlinear model updating for a reinforced concrete shear wall. Journal of Engineering Mechanics, 139: 635-649.
    [159] Song W, Dyke S.2013a. Development of a cyber-physical experimental platform for real-time dynamic model updating. Mechanical Systems and Signal Processing, 37: 388-402.
    [160] Song W, Dyke S.2013b. Real-time dynamic model updating of a hysteretic structural system. Journal of Structural Engineering, 140: 04013082.
    [161] Sutter T R, Camarda C J, Walsh J L, et al.1989. Comparison of several methods for calculating vibration mode shape derivatives. AIAA Journal, 26: 1506-1511.
    [162] Venture C, Brincker R, Dascotte E, et al.2001. FEM updating of the heritage court building structure//19th International Modal Analysis Conference, 2001, Kissimmee, USA, Vol. 1, 324-330.
    [163] Wang H, LI A Q, Miao C Q.2005. Finite element model updating and validating of Runyang Suspension Bridge based on SHMS. Journal of Southeast University (English Edition), 21: 474-479.
    [164] Wang X, Hill T L, Neild S A, et al.2018. Model updating strategy for structures with localised nonlinearities using frequency response measurements. Mechanical Systems and Signal Processing, 100: 940-961.
    [165] Wang Z C, Xin Y, Ren W X.2015. Nonlinear structural model updating based on instantaneous frequencies and amplitudes of the decomposed dynamic responses. Engineering Structures, 100: 189-200.
    [166] Wang Z C, Xin Y, Ren W X.2016. Nonlinear structural joint model updating based on instantaneous characteristics of dynamic responses. Mechanical Systems and Signal Processing, 76: 476-496.
    [167] Weng S, Xia Y, Xu Y L, et al.2011. Substructure based approach to finite element model updating. Computers and Structures, 89: 772-782.
    [168] Worden K, Tomlinson G R.2000. Nonlinearity in Structural Dynamics: Detection, Identification and Modelling. CRC Press.
    [169] Xu Y L, Zhang X H, Zhan S, et al.2011. Testbed for structural health monitoring of long-span suspension bridges. Journal of Bridge Engineering, 17: 896-906.
    [170] Yuan P P, Wang Z C, Ren W X, et al.2016. Nonlinear joint model updating using static responses. Advances in Mechanical Engineering, 8: 1-15.
    [171] Yuan Z X, Yu K P.2015. Finite element model updating of damped structures using vibration test data under base excitation. Journal of Sound and Vibration, 340: 303-316.
    [172] Zang C, Grafe H, Imregun M.2001. Frequency--domain criteria for correlating and updating dynamic finite element models. Mechanical Systems and Signal Processing, 15: 139-155.
    [173] Zang C, Schwingshackl C W, Ewins D J.2008. Model validation for structural dynamic analysis: An approach to the Sandia Structural Dynamics Challenge. Computer Methods in Applied Mechanics and Engineering, 197: 2645-2659.
    [174] Zhou S, Song W.2016. A Finite Element Model Updating Method Considering Environmental Impacts//Topics in Modal Analysis & Testing, Springer International Publishing, Vol. 10, 313-324.
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  • 收稿日期:  2018-03-15
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